For a given continuous compactly supported reenable function that is fundamental (that means, () =), this paper presents several methods to construct, directly from , compactly supported fundamental reenable functions with higher regularity. Asymptotic regularity analyses of the constructions are given. These constructions immediately provide multivariate interpolatory subdivision schemes that ...

Mutation of skew-symmetrizable matrices is a fundamental operation that first arose in Fomin-Zelevinsky’s theory of cluster algebras; it also appears naturally in many different areas of mathematics. In this paper, we study mutation classes of skew-symmetrizable 3 × 3 matrices and associated graphs. We determine representatives for these classes using a natural minimality condition, generalizin...

Modelling covariance structure in the analysis of repeated measures data, Statist. Med. A new class of multivariate skew distributions with applications to Bayesian regression models, The Canadion Journal of Analysis for the Student-t regression model.

In this paper we study the multivariate skew-normal distribution and its scale mixtures, as extensions of the similar non-skewed distributions. Different parameterizations and some properties are investigated. ∗ Subject Classification: 60E05.

In this paper, we study warped products of contact skew-CR submanifolds, called skew CR-warped products. We establish a lower bound relationship between the squared norm second fundamental form and warping function. The equality case inequality is investigated some special cases derived are given. Furthermore, provide non-trivial examples such submanifolds.

AIM The aim of this study was to determine whether there is relation between body mass index and symptoms of gastro-esophageal reflux disease in our community using Logit, Probit and Complementary log-log models. BACKGROUND The most frequent statistical tool to address the relationship among a dichotomous response and other covariates is logistic regression. However logistic regression is fam...

The construction of multivariate distributions is an active field of research in theoretical and applied statistics. In this paper some recent developments in this field are reviewed. Specifically, we study and review the following set of methods: (a) Construction of multivariate distributions based on order statistics, (b) Methods based on mixtures, (c) Conditionally specified distributions, (...

Finite mixtures of skew distributions provide a flexible tool for modelling heterogeneous data with asymmetric distributional features. However, parameter estimation via the Expectation-Maximization (EM) algorithm can become very timeconsuming due to the complicated expressions involved in the E-step that are numerically expensive to evaluate. A more time-efficient implementation of the EM algo...

In this article, we introduce the multivariate slash and skew-slash t distributions which provide alternative choices in simulating and fitting skewed and heavy tailed data. We study their relationships with other distributions and give the densities, stochastic representations, moments, marginal distributions, distributions of linear combinations and characteristic functions of the random vect...